Question
When the average of any two numbers is added to the
remaining number, the results come out to be 260, 248 and 232 respectively. What is the difference between the largest and smallest number?Solution
ATQ,
Let the numbers be x, y, z. 2x + y + z = 260 × 2 = 520 x + 2y + z = 248 × 2 = 496 x + y + 2z = 232 × 2 = 464 4(x + y + z) = 520 + 496 + 464 = 1480 x + y + z = 370 x = 520 – 370 = 150 y = 496 – 370 = 126 z = 464 – 370 = 94 Difference = 150 – 94 = 56
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